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Simplifying 3(2x + 9) + 7(x + -2) = 26 Reorder the terms: 3(9 + 2x) + 7(x + -2) = 26 (9 * 3 + 2x * 3) + 7(x + -2) = 26 (27 + 6x) + 7(x + -2) = 26 Reorder the terms: 27 + 6x + 7(-2 + x) = 26 27 + 6x + (-2 * 7 + x * 7) = 26 27 + 6x + (-14 + 7x) = 26 Reorder the terms: 27 + -14 + 6x + 7x = 26 Combine like terms: 27 + -14 = 13 13 + 6x + 7x = 26 Combine like terms: 6x + 7x = 13x 13 + 13x = 26 Solving 13 + 13x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 13x = 26 + -13 Combine like terms: 13 + -13 = 0 0 + 13x = 26 + -13 13x = 26 + -13 Combine like terms: 26 + -13 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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